I cannot find any references talking about how to do this, and I cannot figure it out. Suppose we have
$\int_\Gamma z^{a/b} dz$,
where $z \in \mathbb{C}$ and $\Gamma$ is some contour which has an endpoint on the negative real axis.
I know that we need to convert $z^{a/b}$ to $e^{a/b \ \text{Log}(z)}$, but then I don't know what to do. Any help would be appreciated.
(I am aware there is a question asked with an almost identical title, but it is not helpful and has no answer.)